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Finding the Fourth Proportional to 23,314.95, 32,175 and 12,704.58

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Solution

The fourth proportional to 23,314.95, 32,175 and 12,704.58 is: 17,532.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,314.95 : 32,175 = 12,704.58 : x
  2. Step 2: Convert to fraction form
    23,314.95/32,175 = 12,704.58/x
  3. Step 3: Cross multiply
    23,314.95x = 32,175 × 12,704.58
  4. Step 4: Simplify right side
    23,314.95x = 408,769,861.50
  5. Step 5: Solve for x
    x = 408,769,861.50/23,314.95
  6. Step 6: Final answer
    x = 17,532.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.